On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Chi Kun Lin; Kung Chien Wu

doi:10.3934/dcds.2012.32.2233

On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Chi Kun Lin^*, Kung Chien Wu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study the nonrelativistic, semiclassical and nonrelativistic- semiclassical limits of the (modulated) nonlinear Klein-Gordon equations from its hydrodynamical structure via WKB analysis. The nonrelativistic-semiclassical limit is proved rigorously by modulated energy method.

Original language	English
Pages (from-to)	2233-2251
Number of pages	19
Journal	Discrete and Continuous Dynamical Systems
Volume	32
Issue number	6
DOIs	https://doi.org/10.3934/dcds.2012.32.2233
Publication status	Published - Jun 2012
Externally published	Yes

Keywords

Compressible Euler equations
Nonlinear Klein-Gordon equation
Nonlinear Schrödinger equation
Nonrelativistic limit
Nonrelativistic-semiclassical limit
Semiclassical limit
WKB approximation
Wave map

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10.3934/dcds.2012.32.2233

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title = "On the fluid dynamical approximation to the nonlinear Klein-Gordon equation",

abstract = "We study the nonrelativistic, semiclassical and nonrelativistic- semiclassical limits of the (modulated) nonlinear Klein-Gordon equations from its hydrodynamical structure via WKB analysis. The nonrelativistic-semiclassical limit is proved rigorously by modulated energy method.",

keywords = "Compressible Euler equations, Nonlinear Klein-Gordon equation, Nonlinear Schr{\"o}dinger equation, Nonrelativistic limit, Nonrelativistic-semiclassical limit, Semiclassical limit, WKB approximation, Wave map",

author = "Lin, {Chi Kun} and Wu, {Kung Chien}",

year = "2012",

month = jun,

doi = "10.3934/dcds.2012.32.2233",

language = "English",

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journal = "Discrete and Continuous Dynamical Systems",

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AU - Lin, Chi Kun

AU - Wu, Kung Chien

PY - 2012/6

Y1 - 2012/6

N2 - We study the nonrelativistic, semiclassical and nonrelativistic- semiclassical limits of the (modulated) nonlinear Klein-Gordon equations from its hydrodynamical structure via WKB analysis. The nonrelativistic-semiclassical limit is proved rigorously by modulated energy method.

AB - We study the nonrelativistic, semiclassical and nonrelativistic- semiclassical limits of the (modulated) nonlinear Klein-Gordon equations from its hydrodynamical structure via WKB analysis. The nonrelativistic-semiclassical limit is proved rigorously by modulated energy method.

KW - Compressible Euler equations

KW - Nonlinear Klein-Gordon equation

KW - Nonlinear Schrödinger equation

KW - Nonrelativistic limit

KW - Nonrelativistic-semiclassical limit

KW - Semiclassical limit

KW - WKB approximation

KW - Wave map

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U2 - 10.3934/dcds.2012.32.2233

DO - 10.3934/dcds.2012.32.2233

M3 - Article

AN - SCOPUS:84859526243

SN - 1078-0947

VL - 32

SP - 2233

EP - 2251

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 6

ER -

On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Abstract

Keywords

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